Strictly positive definite kernels on the torus

DOI10.1007/s00365-016-9354-2zbMath1388.42007OpenAlexW2514755605MaRDI QIDQ1675130

Valdir A. Menegatto, Jean C. Guella

Publication date: 26 October 2017

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: http://www.enama.org/wp-content/uploads/2016/01/LivroResumoEnama2015v2.pdf

zbMATH Keywords

positive definitenesskernelstrict positive definitenessmulti-dimensional torusmultiple Fourier expansions

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (5)

\(\ell^1\)-summability and Fourier series of B-splines with respect to their knots ⋮ Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach ⋮ Schoenberg's theorem for positive definite functions on products: a unifying framework ⋮ Characterization of strict positive definiteness on products of complex spheres ⋮ Matrix-valued positive definite kernels given by expansions: strict positive definiteness

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